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Finding the Fourth Proportional to 2,662.58, 3,993.86 and 813.69

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Solution

The fourth proportional to 2,662.58, 3,993.86 and 813.69 is: 1,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.58 : 3,993.86 = 813.69 : x
  2. Step 2: Convert to fraction form
    2,662.58/3,993.86 = 813.69/x
  3. Step 3: Cross multiply
    2,662.58x = 3,993.86 × 813.69
  4. Step 4: Simplify right side
    2,662.58x = 3,249,759.87
  5. Step 5: Solve for x
    x = 3,249,759.87/2,662.58
  6. Step 6: Final answer
    x = 1,220.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.